(m-1)x^2-4x-1=

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Solution for (m-1)x^2-4x-1= equation:


Simplifying
(m + -1) * x2 + -4x + -1 = 0

Reorder the terms:
(-1 + m) * x2 + -4x + -1 = 0

Reorder the terms for easier multiplication:
x2(-1 + m) + -4x + -1 = 0
(-1 * x2 + m * x2) + -4x + -1 = 0

Reorder the terms:
(mx2 + -1x2) + -4x + -1 = 0
(mx2 + -1x2) + -4x + -1 = 0

Reorder the terms:
-1 + mx2 + -4x + -1x2 = 0

Solving
-1 + mx2 + -4x + -1x2 = 0

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + mx2 + -4x + 1 + -1x2 = 0 + 1

Reorder the terms:
-1 + 1 + mx2 + -4x + -1x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + mx2 + -4x + -1x2 = 0 + 1
mx2 + -4x + -1x2 = 0 + 1

Combine like terms: 0 + 1 = 1
mx2 + -4x + -1x2 = 1

Add '4x' to each side of the equation.
mx2 + -4x + 4x + -1x2 = 1 + 4x

Combine like terms: -4x + 4x = 0
mx2 + 0 + -1x2 = 1 + 4x
mx2 + -1x2 = 1 + 4x

Add 'x2' to each side of the equation.
mx2 + -1x2 + x2 = 1 + 4x + x2

Combine like terms: -1x2 + x2 = 0
mx2 + 0 = 1 + 4x + x2
mx2 = 1 + 4x + x2

Divide each side by 'x2'.
m = x-2 + 4x-1 + 1

Simplifying
m = x-2 + 4x-1 + 1

Reorder the terms:
m = 1 + x-2 + 4x-1

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